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Simplifying 5d + -8 = 33(d + 2) + 2d Reorder the terms: -8 + 5d = 33(d + 2) + 2d Reorder the terms: -8 + 5d = 33(2 + d) + 2d -8 + 5d = (2 * 33 + d * 33) + 2d -8 + 5d = (66 + 33d) + 2d Combine like terms: 33d + 2d = 35d -8 + 5d = 66 + 35d Solving -8 + 5d = 66 + 35d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-35d' to each side of the equation. -8 + 5d + -35d = 66 + 35d + -35d Combine like terms: 5d + -35d = -30d -8 + -30d = 66 + 35d + -35d Combine like terms: 35d + -35d = 0 -8 + -30d = 66 + 0 -8 + -30d = 66 Add '8' to each side of the equation. -8 + 8 + -30d = 66 + 8 Combine like terms: -8 + 8 = 0 0 + -30d = 66 + 8 -30d = 66 + 8 Combine like terms: 66 + 8 = 74 -30d = 74 Divide each side by '-30'. d = -2.466666667 Simplifying d = -2.466666667
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